determine if the parabola whose equation is $y = -5x^2 + 3x - 1$ opens upward or downward.

choose the correct answer below.

upward
downward

Question

determine if the parabola whose equation is $y = -5x^2 + 3x - 1$ opens upward or downward.

choose the correct answer below.

upward
downward

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Parabola Orientation" ], "new_concepts": [], "current_concepts": [ "Parabola Orientation", "Quadratic Equations" ] } ## Identify the quadratic coefficient Using the *Parabola Orientation* knowledge point $$ \begin{aligned} &y = ax^2 + bx + c \ &y = -5x^2 + 3x - 1 \ &a = -5 \end{aligned} $$ ## Determine the direction of opening Using the *Parabola Orientation* knowledge point $$ \begin{aligned} &a = -5 < 0 \implies \text{Downward} \end{aligned} $$

Upward

Downward

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QUESTION IMAGE

Question

Explanation:

Identify the quadratic coefficient

Determine the direction of opening

Answer: